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	Volterra-Lotka equations (Site not responding. Last check: 2007-11-01)
		A classic model using the equations is of the population dynamics of the lynx and the snowshoe hare, popularised due to the extensive data collected on the relative populations of the two species by the Hudson Bay company during the 19th century.
		Cassa di Risparmio di Volterra [Volterra, PI] Presenta i prodotti e servizi dell'istituto bancario, oltre alla storia, i recapiti di filiali e sedi, notizie sulla fondazione.
		Istituto Tecnico Industriale Statale Vito Volterra [Ancona] Sito ufficiale dell'Istituto
	www.serebella.com /encyclopedia/article-Volterra-Lotka_equations.html (1153 words)

	VOLTERRA
		Vito Volterra, an Italian mathematician, was born in Ancona in 1860 and died in Rome in 1940.
		In his last years Volterra was also interested in biometrics, and developed (1927) A. Lotka's theories, trying to express the mutual actions of associated biologic species under the shape of differential equations and to deduce the behaviour of fluctuations of biologic populations.
		Volterra showed the possibility of applying exact and strict methods to the universe of human sciences, attributing a theoretic centrality to mathematics in relation with philosophy studies.
	www.cadnet.marche.it /liceosasso/volt_e.htm (499 words)

	Volterra, Vito - Hutchinson encyclopedia article about Volterra, Vito (Site not responding. Last check: 2007-11-01)
		Volterra was born in Ancona and studied at Florence and Pisa.
		Volterra contributed especially to the foundation of the theory of functionals, the solution of integral equations with variable limits, and the integration of hyperbolic partial differential equations.
		Volterra's main works are The Theory of Permutable Functions (1915) and The Theory of Functionals and of Integral and Integro-differential Equations (1930).
	encyclopedia.farlex.com /Volterra,%20Vito (402 words)

	Volterra Series - Wikipedia, the free encyclopedia
		Beginning in 1887 it was developed by Vito Volterra in analogy to the Taylor Series for functions.
		The theory of Volterra Series can be viewed from two different perspectives: either one considers an operator mapping between two real or complex function spaces or a functional mapping from a real (complex) function space into the real (complex) numbers.
		Hence, estimation of Volterra coefficients is generally performed by estimating the coefficients of an orthogonalized series, e.g.
	en.wikipedia.org /wiki/Volterra_Series (692 words)

	References for Volterra
		G Fichera, Vito Volterra and the birth of functional analysis, Development of mathematics 1900-1950 (Basel, 1994), 171-183.
		G Israel, On Vito Volterra's proposals to confer the Nobel Prize in physics on Henri Poincaré (Italian), Proceedings of the fifth national congress on the history of physics, Rend.
		L Tanzi Cattabianchi, The contributions of Vito Volterra to air ballistics (Italian), Riv.
	www-groups.dcs.st-and.ac.uk /~history/References/Volterra.html (360 words)

	Vito Volterra (Site not responding. Last check: 2007-11-01)
		Vito Volterra (May 3, 1860 - October 11, 1940) was an Italian mathematician and physicist, best known for his contributions to mathematical biology.
		Born in Ancona, then part of the Papal States, into a very poor famiily, Volterra showed early promise in mathematics before attending the University ofPisa, where he fell under the influence of Enrico Betti, and where he became professor of rational mechanics in 1883.
		Volterra had grown up during the final stages of the Risorgimento when the Papal States were finally annexed by Italy and, like his mentor Betti, he was an enthusiastic patriot, being elected as a senator of the Kingdom of Italy in 1905.
	www.therfcc.org /vito-volterra-84239.html (323 words)

	Geometry.Net - Scientists: Volterra Vito
		Vito Volterra Symposium on Mathematical Models in Biology: Proceedings of a Conference Held at the Centro Linceo Interdisciplinare, Accademia Naziona (Lecture notes in biomathematics) by Rome, Italy Vito Volterra Symposium on Mathematical Models in Biology, Vito Volterra, et all 01 December, 1980
		Vito Volterra Symposium on Mathematical Models in Biology: Proceedings of a Conference Held at the Centro Linceo Interdisciplinare, Accademia Nazionale Dei Lincei, Rome, December 17-21, 1979 by C. Barigozzi, 1980
		Vito Volterra He was born in Ancona on 3 rd May 1860, and died inRome on 11 th October 1940.
	www.geometry.net /detail/scientists/volterra_vito.html (1775 words)

	Vito Volterra - InformationBlast
		Born in Ancona, then part of the Papal States, into a very poor famiily, Volterra showed early promise in mathematics before attending the University of Pisa, where he fell under the influence of Enrico Betti, and where he became professor of rational mechanics in 1883.
		In 1892, he became professor of mechanics at the University of Turin and then, in 1900, professor of mathematical physics at the University of Rome.
		After World War I, Volterra turned his attention to the application of his mathematical ideas to biology, principally reiterating and developing the work of Pierre François Verhulst.
	www.informationblast.com /Vito_Volterra.html (331 words)

	BookRags: Vito Volterra Biography
		Vito Volterra had a major impact on the development of calculus, and he originated the concept of a theory of functions.
		Volterra was born to a poor cloth salesman on May 3, 1860 in Rome, Italy.
		Volterra died when Vito was about two, so the boy and his mother moved in with her brother.
	www.bookrags.com /biography/vito-volterra-wom (761 words)

	Lotka-Volterra equation - Wikipedia, the free encyclopedia
		The Lotka-Volterra equations, also known as the predator-prey equations, are a pair of first order, non-linear, differential equations frequently used to describe the dynamics of biological systems in which two species interact, one a predator and one its prey.
		They were proposed independently by Alfred J. Lotka in 1925 and Vito Volterra in 1926.
		Leigh (1968) The ecological role of Volterra's equations, in Some Mathematical Problems in Biology - a modern discussion using Hudson's Bay Company data on lynx and hares in Canada from 1847 to 1903.
	en.wikipedia.org /wiki/Volterra-Lotka_equations (835 words)

	VOLTERRA - TUSCANY ITALY --- lotka volterra,volterra series,vito volterra,volterra model,volterra italy,cassa di ...
		A Volterra la storia ha lasciato il suo segno con continuità dal periodo etrusco fino all’ottocento, con testimonianze artistiche e monumentali di grandissimo rilievo, che possono essere ammirate semplicemente passeggiando per le vie del centro storico, ma anche visitando i tre musei cittadini: il Museo Etrusco, la Pinacoteca Civica e il Museo d’Arte Sacra.
		Volterra, a haven of Etruscan, Roman, Medieval and Rennaissance art, domi- nates the Cecina Valley, 550 metres above sea level, affording a spectacular view as far as the sea.
		And yet Volterra’s charm not only lies in its historical patrimony but in the undefiled surrounding countryside, a slow traditional way of life and its age-old tradition of alabaster carving.
	www.pisaonline.it /Volterra/Volterra.htm (466 words)

	ipedia.com: Vito Volterra Article (Site not responding. Last check: 2007-11-01)
		Vito Volterra was an Italian mathematician and physicist, best known for his contributions to mathematical biology.
		In the same year, he began to develop the theory of dislocations in crystals that was later to become important in the understanding of the behaviour of ductile materials.
		He was compelled to resign his university post and membership of scientific academies, and, during the following years, he lived largely abroad, returning to Rome just before his death.
	www.ipedia.com /vito_volterra.html (412 words)

	Volterra summary
		Volterra published papers on partial differential equations, particularly the equation of cylindrical waves.
		His most famous work was done on integral equations.
		He published many papers on what is now called 'an integral equation of Volterra type'.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Volterra.html (45 words)

	Vito Volterra - Bedeutung, Definition, Erklärung im netlexikon
		The Biology of Numbers : The Correspondence of Vito Volterra on Mathematical Biology von Giorgio Israel, Ana Millan Gasca (Gebundene Ausgabe)
		Vito Volterra Symposium on Mathematical Models in Biology.
		Weitere Bücher zum Stichwort "Vito Volterra" bei Amazon.de suchen
	www.lexikon-definition.de /Vito-Volterra.html (266 words)

	Pisa da visitare :: Consorzio Turistico Volterra Valdicecina Valdera - lotka volterra,volterra series,vito ...
		Incantevoli itinerari, con al centro la città di Volterra, si snodano in un territorio incontaminato, con tracce di castelli, palazzi, pievi romaniche e borghi medievali.
		Idyllically set amidst gently rolling hills and lush woodland, the Cecina and Era Valleys captures the essence of Tuscany and is distinguished by its relaxed, gentle pace of life and warm welcome.
		Its cultural heritage and timeless atmosphere is majestically crowned by Volterra, a sanctuary of Etruscan, Roman, Medieval and Rennaissance art and architecture.
	www.pisaonline.it /volterra/Default.htm (428 words)

	Alberghi Volterra su Viaggi-Vacanze
		Sono stati trovati i seguenti risultati inerenti "Alberghi Volterra"; ecco quelli da 16 a 30:
		The touristic guide of Volterra and Valdicecina - lotka volterra, volterra series, vito volterra, volterra model, volterra italy, cassa di risparmio di volterra, lotka volterra model, agriturismo volterra,...
		Lotka volterra, volterra series, vito volterra, volterra model, volterra italy, cassa di risparmio di volterra, lotka volterra model, agriturismo...
	www.viaggi-vacanze.us /alberghi-volterra-2.html (460 words)

	Predator-Prey, Part 2
		Vito Volterra (1860-1940) was a famous Italian mathematician who retired from a distinguished career in pure mathematics in the early 1920s.
		He concluded that the predator-prey balance was at its natural state during the war, and that intense fishing before and after the war disturbed this natural balance -- to the detriment of predators.
		Having no biological or ecological explanation for this phenomenon, D'Ancona asked Volterra if he could come up with a mathematical model that might explain what was going on.
	www.math.duke.edu /education/ccp/materials/diffeq/predprey/pred2.html (931 words)

	Library marks major acquisition - MIT News Office
		The size of the Volterra Collection alone is impressive: nearly 7,000 volumes, dozens of journals, and 17,000 pamphlets and reprints.
		However, a portion of Dr. Volterra's library remained in Rome, the property of the Republic of Italy.
		Vito Volterra was among the leading figures in Italian science and politics in the first half of this century.
	web.mit.edu /newsoffice/1999/dibner-1208.html (664 words)

	Home Page Centro Vito Volterra
		Il sito del Centro Vito Volterra e' ancora in fase di ricostruzione.
		Per statuto il Centro Volterra puo' ammettere, in qualita' di membri di commissioni esterne anche studiosi non appartenenti all'Universita' di Roma Tor Vergata.
		Il Centro Volterra intende ricollegarsi alla migliore tradizione scientifica italiana rifiutando una netta separazione tra ricerca pura e ricerca applicata: esso incoraggia entrambi i tipi di attivita' e soprattutto il dialogo tra esse, nel pieno rispetto delle scelte individuali.
	volterra.mat.uniroma2.it (500 words)

	torinoscienza.it > Vito Volterra
		Allo scoppio della Prima Guerra Mondiale Volterra si schiera a favore dell'intervento dell'Italia e chiede di essere arruolato.
		Svolge servizio nell'aeronautica, dove contribuisce tra l'altro a sviluppare un progetto sui dirigibili.
		Anche in questo caso Volterra rifiuta di prestare giuramento e viene espulso dall'Accademmia.
	www.torinoscienza.it /personaggi/apri?obj_id=218 (377 words)

	Vito - THE BROOKLYN RAIL - LOCAL (Site not responding. Last check: 2007-11-01)
		Rick Vito's official website -- Guitarist Rick Vito was born on October 13, 1949 in Darby, PA, a suburb of Philadelphia.
		Vito biedt het bedrijfsleven en de overheid multidisciplinaire ondersteuning bij toegepast onderzoek en ontwikkeling.
		Gay filmmaker Vito Russo is the author of The Celluloid Closet: Homosexuality in The Pat Parker/Vito Russo Library is a member of the American Library
	fount.globalinfoseek.com /pgis/fount-vito.html (670 words)

	PREDATOR
		Since we are have two interacting species, the model requires two linked differential equations, the first which describes how the prey population changes and the second which describes how the predator population changes.
		Vito Volterra used a system of differential equations to explain the variations in the shark and food-fish populations in the Adriatic sea.
		One of the first models to incorporate interactions between two speciea, predators and prey, was proposed in 1925 by the American biophysicist Alfred Lotka and the Italian mathematician Vito Volterra.
	isolatium.uhh.hawaii.edu /m206L/lab8/predator/predator.htm (475 words)

	TitlePage
		Arguably, the most complete formulation on the problem of “The Struggle for Existence” (G. Gause, 1934) was published by Vito Volterra in Paris in 1931, under the title: Leçons sur la theorie mathematique de la lutte pour la vie.
		Although much work has been done during the intervening years, Volterra’s quantification of the growth and recession of populations in conflict (“the prey and the predator”) remains the definitive work on the subject.
		Although Volterra’s original equations have defied exact solution in their most general form, BEE mathematicians have applied modern computational methods to their numerical solution.
	www.uidaho.edu /biogeochemistry/Mathematics.html (375 words)

	itis vito volterra (Site not responding. Last check: 2007-11-01)
		Montello annunci Volpedo annunci Volpiano annunci Volta Mantovana annunci Voltaggio annunci Voltago annunci Volterra annunci Hai cercato: Volterra annunci 1.
		Vito d`Asio (Pordenone) Comune di Vito d`Asio, in provincia di Pordenone: la sua storia, informazioni utili e varie, monumentialberghi, ristoranti, aziende e dove recarsi per far shopping www.regionefvg.com 2.
		prestiti visso prestiti vistarino prestiti vistrorio prestiti vita prestiti viterbo prestiti viticuso prestiti vito d`asio prestiti vitorchiano prestiti vittoria prestiti vittorio veneto vitulano prestiti vitulazio prestiti viu` prestiti vivaro prestiti vivaro romano prestiti viverone prestiti vito d\`asio prestiti vito d`asio 1.
	www.ellebitechnology.it /pfp%5Fellebi/itis_vito_volterra.asp (436 words)

	UK vito Websites
		Vito Voice Navigation - One thing that everyone seems to be raving about when it comes down to GPS software now, but nobody seems really too bothered about what it sounds like is Voice Navigation.
		Vito Genovese's grave - Back to:- Gangsters & Villains - Graves out of LA " Final Resting Place of Vito Genovese" Vito Genovese (Boss of Bosses) 27th November 1897 - 14th February 1969 Rose from hitman for
		Vito Vital at Moving & Handling People - Vito Vital at Moving & Handling People Vito's Vital is a new range of rise and recline chairs from Sweden, which combine appealing design with well proven qualities.
	www.splut.com /sub/v/vito.html (869 words)

	VOLTERRA - viaggi-voli.ilveroviaggio.it (Site not responding. Last check: 2007-11-01)
		Volterra Hotel - Volterra alberghi - Volterra residence Bed and Breakfast Appart
		Pisa da visitare :: Consorzio Turistico Volterra Valdicecina - lotka volterra,vo
		Appartamento Volterra Porta a Selci: appartamento da 4 posti letto nel centro st
	viaggi-voli.ilveroviaggio.it /volterra.html (178 words)

	Mathematics Seminar 4/5/02 (Site not responding. Last check: 2007-11-01)
		In 1881, Vito Volterra, then a 21 year old student at the Scuola Normale Superiore di Pisa, proved that there could be no function on R which was continuous at every rational number and discontinuous at every irrational number.
		Volterra's elegant proof will be presented (it pre-dates Baire's proof by a generation and uses only elementary analytic tools), but we will also look at the historical background which led to interest in such pathological functions.
		Students who have completed Calculus II will be able to follow much of the talk, and will enjoy a lot of the history.
	www.academic.marist.edu /math/Seminar/Spring02/020405.htm (130 words)

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